A bird leaves the top of a tree and flies with a constant speed of on a bearing of S…

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A bird leaves the top of a tree and flies with a constant speed of

15\,\text{m s}^{-1}

on a bearing of S

30^{\circ}

E (that is,

30^{\circ}

east of the south direction). (a) Express this direction as an angle measured anticlockwise from the positive

x

-axis (east). (b) Find the rectangular components of the bird’s velocity along the east–west (

x

) and north–south (

y

) axes. (c) Calculate the bird’s overall displacement vector after

20\,\text{s}

of flight, expressing your answer in component form as

\mathbf{r}=x\,\mathbf{\hat\imath}+y\,\mathbf{\hat\jmath}